Question

The total area of the triangle below is 300cm.The area outside the circle is 221.5cm.What is the radius of the circle?

Answer 1

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Area of the triangle = 300 cm2.
Area of the circle = (300 - 221.5) = 78.5 cm2.

Thus, by condition, we have,
314/100 * r * r = 785/10
Or, r * r = ( 785*100) / (10*314)
Or, r * r = 7850/314 = 25
Or, r * r = 5 * 5
Or, r = 5.

Hence, radius of the circle is 5 cm.

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